Using Control to Shape Stochastic Escape and Switching Dynamics
Document Type
Article
Publication Date
5-1-2019
Journal / Book Title
Chaos: An Interdisciplinary Journal of Nonlinear Science
Abstract
We present a strategy to control the mean stochastic switching times of general dynamical systems with multiple equilibrium states subject to Gaussian white noise. The control can either enhance or abate the probability of escape from the deterministic region of attraction of a stable equilibrium in the presence of external noise. We synthesize a feedback control strategy that actively changes the system's mean stochastic switching behavior based on the system's distance to the boundary of the attracting region. With the proposed controller, we are able to achieve a desired mean switching time, even when the strength of noise in the system is not known. The control method is analytically validated using a one-dimensional system, and its effectiveness is numerically demonstrated for a set of dynamical systems of practical importance.
DOI
10.1063/1.5090113
MSU Digital Commons Citation
Kularatne, Dhanushka; Forgoston, Eric; and Hsieh, M. Ani, "Using Control to Shape Stochastic Escape and Switching Dynamics" (2019). Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works. 139.
https://digitalcommons.montclair.edu/appliedmath-stats-facpubs/139
Published Citation
Kularatne, D., Forgoston, E., & Hsieh, M. A. (2019). Using control to shape stochastic escape and switching dynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(5), 053128.